A 60 ft. antenna stands on top of a building, From a point on the ground, the angles of elevation to the top and bottom of the antenna measure 58 and 44 respectively. How tall is the building

1 answer

Triangle ABC, A the point of angle measurement on he ground, B the base of the antenna and C, the top of the antenna. Extend CB to ground level at D.

Angle CAB = 58 - 44 = 14º
Angle ACB = 32º
60/sin14 = AB/sin32
AB = 60sin32/sin14
h = BD = ABsin44º